791413632 has 256 divisors, whose sum is σ = 2467584000. Its totient is φ = 249384960.

The previous prime is 791413627. The next prime is 791413639. The reversal of 791413632 is 236314197.

791413632 is a `hidden beast` number, since 7 + 9 + 1 + 4 + 13 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791413639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8892244 + ... + 8892332.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2^791413632 is an apocalyptic number.

791413632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792000).

791413632 is an abundant number, since it is smaller than the sum of its proper divisors (1676170368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

791413632 is a wasteful number, since it uses less digits than its factorization.

791413632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 791413632 is about 28132.0747901750. The cubic root of 791413632 is about 924.9846141098.

It can be divided in two parts, 7914136 and 32, that multiplied together give a palindrome (253252352).

The spelling of 791413632 in words is "seven hundred ninety-one million, four hundred thirteen thousand, six hundred thirty-two".